Finding the Fourth Proportional to 10,092.16, 13,927.50 and 5,555.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.16 : 13,927.50 = 5,555.02 : x
2. Step 2: Convert to fraction form
   10,092.16/13,927.50 = 5,555.02/x
3. Step 3: Cross multiply
   10,092.16x = 13,927.50 × 5,555.02
4. Step 4: Simplify right side
   10,092.16x = 77,367,541.05
5. Step 5: Solve for x
   x = 77,367,541.05/10,092.16
6. Step 6: Final answer
   x = 7,666.10